Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 148, 113, 66, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 113, 66, 468 is 1
GCD(148, 113, 66, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 113, 66, 468 is 1
GCD(148, 113, 66, 468) = 1
Given Input numbers are 148, 113, 66, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 148, 113, 66, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 113, 66, 468 is 1.
Therefore, GCD of numbers 148, 113, 66, 468 is 1
Given Input Data is 148, 113, 66, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 113 is 113
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(148, 113) = 16724
GCD(148, 113) = ( 148 x 113 ) / 16724
GCD(148, 113) = 16724 / 16724
GCD(148, 113) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 148, 113, 66, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 113, 66, 468?
GCD of 148, 113, 66, 468 is 1
2. Where do I get the detailed procedure to find GCD of 148, 113, 66, 468?
You can find a detailed procedure to find GCD of 148, 113, 66, 468 on our page.
3. How to find GCD of 148, 113, 66, 468 on a calculator?
You can find the GCD of 148, 113, 66, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.